Scheme Theory I
Period of duration of course
Number of course hours
Number of hours of lecturers of reference
Number of hours of supplementary teaching
- Angelo Vistoli
- 050 509310
- Palazzo della Carovana , terzo piano, stanza 68
Prerequisites: Scheme Theory I
Separated morphisms. Proper morphisms. Valuative criteria. Projective morphisms. Kähler differentials.
Cohomology of quasi-coherent sheaves.
Flat morphisms. Smooth morphisms.
Applications to curves and surfaces.
Teaching scheme theory
Qing Liu, Algebraic Geometry and Arithmetic Curves, Oxford University Press
Robin Hartshorne, Algebraic Geometry, Springer–Verlag
David Mumford, The Red Book of Varieties and Schemes, Lecture Notes in Mathematics, Springer–Verlag
David Eisenbud, Commutative Algebra with a View Toward Algebraic Geometry, Springer–Verlag
David Eisenbud, Joe Harris, Geometry of Schemes, Springer–Verlag